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The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps.
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
Rational root theorem and synthetic division - Use the rational roots theorem and synthetic division to find the years the country " broke even" (dept = surplus = 0) from 1990 to 2000.
Simon does not complete his homework, Both Simon and Hannah complete their homework
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
Evaluate whether the given geometric series converge, hence determine the exact number or expression that the series converges to
The relation between the dependent & the independent variables & the strength of the relationship. Also test to see if the estimates are significant.
Probability of a person keeping in touch with his or her parents. Please show the formula, and the steps in working the formula, to solve problems.
Probability of having breast cancer. p(BC). Probability of having BC given the mammogram is positive. p(BC/positive mammo), Probability of having a positive mammogram given a person has BC. P(pos mammo/BC)
State null & alternative hypotheses
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
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